Given, diameter of sphere = 6 cm
We know that radius is half of the diameter.
∴ Radius of sphere, r1 = 3 cm
Given, height of solid metal cylinder, h = 45 cm
Diameter = 4 cm
∴ Radius of cylinder, r2 = 2 cm
Let a cylinder be melted to form n number of spheres.
So, Volume of cylinder = Volume of n spheres
We know that volume of cylinder = πr2h
And volume of sphere = (4πr3)/3
∴ π (4)(45) = (n ×(4π(3)3)/3
180π = n36π
⇒ n = 180/36
⇒ n = 5
Ans. 5 spheres can be made by melting the cylinder.
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